Least Common Multiple of 20/624, 38/543, 303/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/624, 38/543, 303/597 quickly i.e. 38380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/624, 38/543, 303/597 is 38380.

LCM(20/624, 38/543, 303/597) = 38380

LCM of 20/624, 38/543, 303/597

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 20/624,38/543,303/597

Given numbers are 20/624,38/543,303/597

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 20,38,303

Least Common Multiple of Numerators i.e. LCM of 20,38,303 is 115140.

GCF of Denominators means GCF of 624,543,597 as per the given fractions.

GCF of 624,543,597 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,38,303

LCM of Fractions 20/624,38/543,303/597 is 38380

2 20, 38, 303
10, 19, 303

∴ So the LCM of the given numbers is 2 x 10 x 19 x 303 = 115140

Least Common Multiple of 20,38,303 with GCF Formula

Least Common Multiple of 20,38,303 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 20,38,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,38,303) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,38,303) x common factors =1 x 2 = 2

LCM(20,38,303) = ( 20 × 38 × 303 ) / 2

LCM(20,38,303) = 230280 / 2

LCM(20,38,303) = 115140


Lets's calculate GCF of 624,543,597

3 624, 543, 597
208, 181, 199

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115140/3

Therefore the LCM of Fractions 20/624,38/543,303/597 is 38380

Greatest Common Factor of 624,543,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,543,597 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 624,543,597 . The biggest common factor number is the GCF number.
So the greatest common factor 624,543,597 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 20/624, 38/543, 303/597

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 20/624, 38/543, 303/597?

Answer: LCM of Numerators as per given numbers 20/624, 38/543, 303/597 is

LCM of Numerators i.e. for 20,38,303 is 115140

GCF of denominators i.e. for 624,543,597 is 3.

Thus, LCM of Fractions is 38380.Finally, LCM of Fractions for 20/624, 38/543, 303/597 is 38380.